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Author : Chang Su
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (129 download)
Download or read book Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks written by Chang Su and published by . This book was released on 2004 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramtin Pedarsani
Publisher :
ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (919 download)
Download or read book Robust Scheduling for Queueing Networks written by Ramtin Pedarsani and published by . This book was released on 2015 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing networks are used to model complicated processing environments such as data centers, call centers, transportation networks, health systems, etc. A queueing network consists of multiple interconnected queues with some routing structure, and a set of servers that have different and possibly overlapping capabilities in processing tasks (jobs) of different queues. One of the most important challenges in designing processing systems is to come up with a low-complexity and efficient scheduling policy. In this thesis, we consider the problem of robust scheduling for various types of processing networks. We call a policy robust if it does not depend on system parameters such as arrival and service rates. A major challenge in designing efficient scheduling policies for new large-scale processing networks is the lack of reliable estimates of system parameters; thus, designing a robust scheduling policy is of great practical interest. We develop a novel methodology for designing robust scheduling policies for queueing networks. The key idea of our design is to use the queue-length changes information to learn the right allocation of service resources to different tasks by stochastic gradient projection method. Our scheduling policy is oblivious to the knowledge of arrival rates and service rates of tasks in the network. Further, we propose a new fork-join processing network for scheduling jobs that are represented as directed acyclic graphs. We apply our robust scheduling policy to this fork-join network, and prove rate stability of the network under some mild assumptions. Next, we consider the stability of open multiclass queueing networks under longest-queue (LQ) scheduling. LQ scheduling is of great practical interest since (a) it requires only local decisions per group of queues; (b) the policy is robust to knowledge of arrival rates, service rates and routing probabilities of the network. Throughput-optimality of LQ scheduling policy for open multiclass queueing network is still an open problem. We resolve the open problem for a special case of multiclass queueing networks with two servers that can each process two queues, and show that LQ is indeed throughput-optimal. Finally, we consider transportation networks that can be well modeled by queueing networks. We abstractly model a network of signalized intersections regulated by fixed-time controls as a deterministic queueing network with periodic arrival and service rates. This system is characterized by a delay-differential equation. We show that there exists a unique periodic trajectory of queue-lengths, and every trajectory or solution of the system converges to this periodic trajectory, independent of the initial conditions.
Author : Jayachandran Sethuraman
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (448 download)
Download or read book Scheduling Multiclass Queueing Networks and Job Shops Using Fluid and Semidefinite Relaxations written by Jayachandran Sethuraman and published by . This book was released on 1999 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sunil Kumar
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Customer Choice and Routing in Queueing Networks written by Sunil Kumar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study self-interested routing in stochastic networks, taking into account the discrete stochastic dynamics of such networks. We analyze a two station multiclass queueing network in which the system manager chooses the scheduling rule used, and individual customers choose routes in a self-interested manner. We show that this network can be unstable in Nash equilibrium when the scheduling rule is chosen naively by the system manager. We also design a non-trivial scheduling rule that negates the performance degradation due to self-interested routing and achieves a Nash equilibrium with excellent performance.
Author :
Publisher :
ISBN 13 :
Total Pages : 754 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2004 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence M. Wein
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (189 download)
Download or read book Scheduling a Two-station Multiclass Queueing Network in Heavy Traffic written by Lawrence M. Wein and published by . This book was released on 1988* with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cédric Westphal
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (485 download)
Download or read book Stability and Scheduling in Multiclass Queueing Networks written by Cédric Westphal and published by . This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Junxia Chang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (574 download)
Download or read book Dynamic Scheduling of Open Multiclass Queueing Networks in a Slowly Changing Environment written by Junxia Chang and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis investigates the dynamic scheduling of computer communication networks that can be periodically overloaded. Such networks are modelled as mutliclass queueing networks in a slowly changing environment. A hierarchy framework is established to search for a suitable scheduling policy for such networks through its connection with stochastic fluid models. In this work, the dynamic scheduling of a specific multiclass stochastic fluid model is studied first. Then, a bridge between the scheduling of stochastic fluid models and that of the queueing networks in a changing environment is established. In the multiclass stochastic fluid model, the focus is on a system with two fluid classes and a single server whose capacity can be shared arbitrarily among these two classes. The server may be overloaded transiently and it is under a quality of service contract which is indicated by a threshold value of each class. Whenever the fluid level of a certain class is above the designated threshold value, the penalty cost is incurred to the server. The optimal and asymptotically optimal resource allocation policies are specified for such a stochastic fluid model. Afterwards, a connection between the optimization of the queueing networks and that of the stochastic fluid models is established. This connection involves two steps. The first step is to approximate such networks by their corresponding stochastic fluid models with a proper scaling method. The second step is to construct a suitable policy for the queueing network through a successful interpretation of the stochastic fluid model solution, where the interpretation method is provided in this study. The results developed in this thesis facilitate the process of searching for a nearly optimal scheduling policy for queueing networks in a slowly changing environment.
Author : Dimitris Bertsimas
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Method written by Dimitris Bertsimas and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We address the problem of scheduling a multi-station multiclass queueing network (MQNET) with server changeover times to minimize steady-state mean job holding costs. We present new lower bounds on the best achievable cost that emerge as the values of mathematical programming problems (linear, semidefinite, and convex) over relaxed formulations of the system's achievable performance region. The constraints on achievable performance defining these formulations are obtained by formulating system's equilibrium relations. Our contributions include: (1) a flow conservation interpretation and closed formulae for the constraints previously derived by the potential function method; (2) new work decomposition laws for MQNETs; (3) new constraints (linear, convex, and semidefinite) on the performance region of first and second moments of queue lengths for MQNETs; (4) a fast bound for a MQNET with N customer classes computed in N steps; (5) two heuristic scheduling policies: a priority-index policy, and a policy extracted from the solution of a linear programming relaxation.
Author :
Publisher :
ISBN 13 :
Total Pages : 1518 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin D. Glazebrook
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks written by Kevin D. Glazebrook and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present an intuitive stability condition for open multiclass queueing networks with Bernoulli routing: if each station has enough service capacity to cope with its peak traffic intensity, then the network is stable under any stationary nonidling scheduling policy. The condition is close to sharp for networks with light traffic between stations. Under this peak-rate condition, in the case of Markovian networks, we derive a closed-form upper bound on the time-average number of customers in the system, which is uniformly valid under all stationary nonidling policies. Our proof combines two recent results concerning (1) the relation between stability and performance via linear programming developed by Kumar and Meyn (1996); and (2) the work decomposition laws for multiclass queueing networks of Bertsimas and Ni?o-Mora (1999). The stability condition is tested on a generalization of the Lu-Kumar network, which shows how its quality depends on the degree of network connectivity.
Author : J. G. Dai
Publisher : Cambridge University Press
ISBN 13 : 1108488897
Total Pages : 405 pages
Book Rating : 4.1/5 (84 download)
Download or read book Processing Networks written by J. G. Dai and published by Cambridge University Press. This book was released on 2020-10-15 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state of the art in fluid-based methods for stability analysis, giving researchers and graduate students command of the tools.
Author : Richard J. Boucherie
Publisher : Springer Science & Business Media
ISBN 13 : 144196472X
Total Pages : 814 pages
Book Rating : 4.4/5 (419 download)
Download or read book Queueing Networks written by Richard J. Boucherie and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner. The handbook is organized into five parts: Part 1 considers exact analytical results such as of product form type. Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden. Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures. Part 3 presents diffusion and fluid results. It specifically looks at the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic. Part 4 illustrates computational and approximate results through the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks. spanPart 5 enlightens selected applications as spanloss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest. spanThe book shows that spanthe intertwined progress of theory and practicespan will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.
Author : Sem C. Borst
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)
Download or read book Polling Systems written by Sem C. Borst and published by . This book was released on 1996 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas G. Robertazzi
Publisher : Springer Science & Business Media
ISBN 13 : 1461211646
Total Pages : 418 pages
Book Rating : 4.4/5 (612 download)
Download or read book Computer Networks and Systems written by Thomas G. Robertazzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a first course in performance evaluation, this is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queueing theory and continues by considering Markovian queues in equilibrium, Littles law, reversibility, transient analysis, and computation, plus the M/G/1 queuing system. It then moves on to cover networks of queues, and concludes with techniques for numerical solutions, a discussion of the PANACEA technique, discrete time queueing systems and simulation, and stochastic Petri networks. The whole is backed by case studies of distributed queueing networks arising in industrial applications. This third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.
Author : Sanjay K. Bose
Publisher : Springer Science & Business Media
ISBN 13 : 146150001X
Total Pages : 300 pages
Book Rating : 4.4/5 (615 download)
Download or read book An Introduction to Queueing Systems written by Sanjay K. Bose and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing is an aspect of modern life that we encounter at every step in our daily activities. Whether it happens at the checkout counter in the supermarket or in accessing the Internet, the basic phenomenon of queueing arises whenever a shared facility needs to be accessed for service by a ]arge number of jobs or customers. The study of queueing is important as it gravides both a theoretical background to the kind of service that we may expect from such a facility and the way in which the facility itself may be designed to provide some specified grade of service to its customers. Our study of queueing was basically motivated by its use in the study of communication systems and computer networks. The various computers, routers and switches in such a network may be modelled as individual queues. The whole system may itself be modelled as a queueing network providing the required service to the messages, packets or cells that need to be carried. Application of queueing theory provides the theoretical framework for the design and study of such networks. The purpose of this book is to support a course on queueing systems at the senior undergraduate or graduate Ievels. Such a course would then provide the theoretical background on which a subsequent course on the performance modeHing and analysis of computer networks may be based.
Author : Christopher D. Manning
Publisher : Cambridge University Press
ISBN 13 : 1139472100
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Introduction to Information Retrieval written by Christopher D. Manning and published by Cambridge University Press. This book was released on 2008-07-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested and coherent, this textbook teaches classical and web information retrieval, including web search and the related areas of text classification and text clustering from basic concepts. It gives an up-to-date treatment of all aspects of the design and implementation of systems for gathering, indexing, and searching documents; methods for evaluating systems; and an introduction to the use of machine learning methods on text collections. All the important ideas are explained using examples and figures, making it perfect for introductory courses in information retrieval for advanced undergraduates and graduate students in computer science. Based on feedback from extensive classroom experience, the book has been carefully structured in order to make teaching more natural and effective. Slides and additional exercises (with solutions for lecturers) are also available through the book's supporting website to help course instructors prepare their lectures.
